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Finding the Third Proportional to 378,942 and 817,984.50

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Solution

The third proportional to 378,942 and 817,984.50 is: 1,765,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,942 : 817,984.50 = 817,984.50 : x
  2. Step 2: Convert to fraction form
    378,942/817,984.50 = 817,984.50/x
  3. Step 3: Cross multiply
    378,942x = 817,984.50 × 817,984.50
  4. Step 4: Simplify right side
    378,942x = 669,098,642,240.25
  5. Step 5: Solve for x
    x = 669,098,642,240.25/378,942
  6. Step 6: Final answer
    x = 1,765,701.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.